Question

Pediatricians work an average of 48 h per week. The standard deviation is 12 hours. What percentage of pediatricians work more than 72 h per​ week

Answer 1

Answer: 2.28 %

Step-by-step explanation:

Given : Mean : $\mu=\ 48$

Standard deviation :$\sigma= 12$

The formula to calculate the z-score :-

$z=\dfrac{x-\mu}{\sigma}$

For x = 72

$z=\dfrac{72-48}{12}=2$

The p-value = $P(2$

$1-0.9772498=0.0227502\approx0.0228$

In percent, $0.0228\times100=2.28\%$

Hence, the  percentage of pediatricians work more than 72 h per​ week = 2.28 %